Chiral Magnetic Effect in Hydrodynamic Approximation

Захаров, В. И.

doi:10.1007/978-3-642-37305-3_11

Cited by 52 publications

(43 citation statements)

References 85 publications

(251 reference statements)

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“…Of course, if there were a nonzero chemical potential for some species of heavy quark, meaning an excess of those heavy quarks relative to their antiquarks, the push on all heavy quarks and antiquarks from the chiral drag force would result in a heavy quark contribution to the electric current. This would be an example of a correction to the CME or CVE currents, as has been found in other contexts [35,38,[40][41][42][43].…”

Section: Jhep10(2015)018mentioning

confidence: 67%

“…As is by now well studied [9,12,19,20,35], introducing the Chern-Simons coupling in the bulk corresponds to introducing anomalous contributions to the hydrodynamic equations for a chiral plasma (a plasma with µ L = µ R ) in the boundary theory, contributions that arise because of the axial anomaly in the gauge theory [44]. The corresponding anomalous transport phenomena have been studied at weak coupling [13,15,23] as well as at strong coupling [9,12,19,20,23,30,35,70].…”

Section: Anomalous Contributionsmentioning

confidence: 99%

“…The corresponding anomalous transport phenomena have been studied at weak coupling [13,15,23] as well as at strong coupling [9,12,19,20,23,30,35,70]. These anomalous effects can be summarized by noting that in a chiral fluid in the presence of an external magnetic field B or of nonzero fluid angular momentum Ω the axial anomaly causes both vector and axial currents to flow [12,13,20,23]:…”

Section: Anomalous Contributionsmentioning

confidence: 99%

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Chiral drag force

Rajagopal

Sadofyev

2015

J. High Energ. Phys.

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Abstract:We provide a holographic evaluation of novel contributions to the drag force acting on a heavy quark moving through strongly interacting plasma. The new contributions are chiral in the sense that they act in opposite directions in plasmas containing an excess of left-or right-handed quarks. The new contributions are proportional to the coefficient of the axial anomaly, and in this sense also are chiral. These new contributions to the drag force act either parallel to or antiparallel to an external magnetic field or to the vorticity of the fluid plasma. In all these respects, these contributions to the drag force felt by a heavy quark are analogous to the chiral magnetic effect (CME) on light quarks. However, the new contribution to the drag force is independent of the electric charge of the heavy quark and is the same for heavy quarks and antiquarks, meaning that these novel effects do not in fact contribute to the CME current. We show that although the chiral drag force can be non-vanishing for heavy quarks that are at rest in the local fluid rest frame, it does vanish for heavy quarks that are at rest in a suitably chosen frame. In this frame, the heavy quark at rest sees counterpropagating momentum and charge currents, both proportional to the axial anomaly coefficient, but feels no drag force. This provides strong concrete evidence for the absence of dissipation in chiral transport, something that has been predicted previously via consideration of symmetries. Along the way to our principal results, we provide a general calculation of the corrections to the drag force due to the presence of gradients in the flowing fluid in the presence of a nonzero chemical potential. We close with a consequence of our result that is at least in principle observable in heavy ion collisions, namely an anticorrelation between the direction of the CME current for light quarks in a given event and the direction of the kick given to the momentum of all the heavy quarks and antiquarks in that event.

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Section: Jhep10(2015)018mentioning

confidence: 67%

Section: Anomalous Contributionsmentioning

confidence: 99%

Section: Anomalous Contributionsmentioning

confidence: 99%

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Chiral drag force

Rajagopal

Sadofyev

2015

J. High Energ. Phys.

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“…Two decades ago, a novel phenomenon tied to quantum physics was identified (see, e.g., Kharzeev 2011;Kharzeev et al 2013;Zakharov 2013;Giovannini 2013;Kharzeev 2014;Miransky & Shovkovy 2015;Kharzeev et al 2016). The hydrodynamical description of magnetized systems of relativistic fermions in weakly coupled plasmas (Alekseev et al 1998;Giovannini 2013), of quasi-particles in new materials such as graphene (Miransky & Shovkovy 2015), and of the quark-gluon plasma (Kharzeev et al 2016) cannot be formulated in terms of only the standard magnetohydrodynamic (MHD) variables (flow velocity U , magnetic field B, density of plasma ρ, and pressure p) appearing in the Navier-Stokes and the Maxwell equations.…”

Section: Introductionmentioning

confidence: 99%

Laminar and Turbulent Dynamos in Chiral Magnetohydrodynamics. I. Theory

Rogachevskii

Ruchayskiy²,

Boyarsky

et al. 2017

ApJ

125

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The magnetohydrodynamic (MHD) description of plasmas with relativistic particles necessarily includes an additional new field, the chiral chemical potential associated with the axial charge (i.e., the number difference between right-and left-handed relativistic fermions). This chiral chemical potential gives rise to a contribution to the electric current density of the plasma (chiral magnetic effect ). We present a self-consistent treatment of the chiral MHD equations, which include the back-reaction of the magnetic field on a chiral chemical potential and its interaction with the plasma velocity field. A number of novel phenomena are exhibited. First, we show that the chiral magnetic effect decreases the frequency of the Alfvén wave for incompressible flows, increases the frequencies of the Alfvén wave and of the fast magnetosonic wave for compressible flows, and decreases the frequency of the slow magnetosonic wave. Second, we show that, in addition to the well-known laminar chiral dynamo effect, which is not related to fluid motions, there is a dynamo caused by the joint action of velocity shear and chiral magnetic effect. In the presence of turbulence with vanishing mean kinetic helicity, the derived mean-field chiral MHD equations describe turbulent large-scale dynamos caused by the chiral alpha effect, which is dominant for large fluid and magnetic Reynolds numbers. The chiral alpha effect is due to an interaction of the chiral magnetic effect and fluctuations of the small-scale current produced by tangling magnetic fluctuations (which are generated by tangling of the largescale magnetic field by sheared velocity fluctuations). These dynamo effects may have interesting consequences in the dynamics of the early universe, neutron stars, and the quark-gluon plasma.

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“…More precisely a magnetic field induces a current via the chiral magnetic effect (CME) and a vortex or rotation of the fluid or gas of chiral fermions also induces a current via the chiral vortical effect (CVE) [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] (see also the recent reviews [33][34][35][36][37][38][39][40][41] ) Generalizations to arbitrary dimensions have been discussed in [42]. The hydrodynamic approach has been generalized in [43,44].…”

Section: Introductionmentioning

confidence: 99%

Anomalous transport of Weyl fermions in Weyl semimetals

2014

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We present a field theoretical model of anomalous transport in Weyl semi-metals. We calculate the Chiral Magnetic and Chiral Vortical Effect in the electric, axial (valley) and energy current. Our findings coincide with the results of a recent analysis using kinetic theory in the bulk of the material. We point out that the kinetic currents have to be identified with the covariant currents in quantum field theory. These currents are anomalous and the CME appears as anomalous charge creation/annihilation at the edges of the Weyl semi-metal. We discuss a possible simultaneous experimental test of the chiral magnetic and the chiral vortical effect sensitive to the temperature dependence induce by the gravitational contribution to the axial anomaly.arXiv:1306.4932v3 [hep-th] 28 Jan 2014 2

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Chiral Magnetic Effect in Hydrodynamic Approximation

Cited by 52 publications

References 85 publications

Chiral drag force

Chiral drag force

Laminar and Turbulent Dynamos in Chiral Magnetohydrodynamics. I. Theory

Anomalous transport of Weyl fermions in Weyl semimetals

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